TSTP Solution File: SWC113+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC113+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 20:26:46 EDT 2022

% Result   : Theorem 0.53s 46.69s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   69 (  12 unt;   0 def)
%            Number of atoms       :  311 (  96 equ)
%            Maximal formula atoms :   28 (   4 avg)
%            Number of connectives :  413 ( 171   ~; 175   |;  37   &)
%                                         (   5 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   97 (   0 sgn  52   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ( ! [X5] :
                        ( ~ ssItem(X5)
                        | cons(X5,nil) != X3
                        | ~ memberP(X4,X5) )
                    & ( nil != X4
                      | nil != X3 ) )
                  | ( ( nil != X2
                      | nil = X1 )
                    & ( ~ neq(X2,nil)
                      | ( neq(X1,nil)
                        & segmentP(X2,X1) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',co1) ).

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax3,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( memberP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).

fof(ax36,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(app(X2,X3),X1)
              <=> ( memberP(X2,X1)
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax38,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ( ! [X5] :
                          ( ~ ssItem(X5)
                          | cons(X5,nil) != X3
                          | ~ memberP(X4,X5) )
                      & ( nil != X4
                        | nil != X3 ) )
                    | ( ( nil != X2
                        | nil = X1 )
                      & ( ~ neq(X2,nil)
                        | ( neq(X1,nil)
                          & segmentP(X2,X1) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_12,negated_conjecture,
    ( ssList(esk1_0)
    & ssList(esk2_0)
    & ssList(esk3_0)
    & ssList(esk4_0)
    & esk2_0 = esk4_0
    & esk1_0 = esk3_0
    & ( nil = esk4_0
      | ssItem(esk5_0) )
    & ( nil = esk3_0
      | ssItem(esk5_0) )
    & ( nil = esk4_0
      | cons(esk5_0,nil) = esk3_0 )
    & ( nil = esk3_0
      | cons(esk5_0,nil) = esk3_0 )
    & ( nil = esk4_0
      | memberP(esk4_0,esk5_0) )
    & ( nil = esk3_0
      | memberP(esk4_0,esk5_0) )
    & ( neq(esk2_0,nil)
      | nil = esk2_0 )
    & ( ~ neq(esk1_0,nil)
      | ~ segmentP(esk2_0,esk1_0)
      | nil = esk2_0 )
    & ( neq(esk2_0,nil)
      | nil != esk1_0 )
    & ( ~ neq(esk1_0,nil)
      | ~ segmentP(esk2_0,esk1_0)
      | nil != esk1_0 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])]) ).

fof(c_0_13,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | nil != cons(X4,X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])])])]) ).

cnf(c_0_14,negated_conjecture,
    ( cons(esk5_0,nil) = esk3_0
    | nil = esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( ssItem(esk5_0)
    | nil = esk4_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,plain,
    ! [X3,X4] :
      ( ( ~ neq(X3,X4)
        | X3 != X4
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( X3 = X4
        | neq(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])])])]) ).

cnf(c_0_19,plain,
    ( nil != cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,negated_conjecture,
    ( cons(esk5_0,nil) = esk1_0
    | esk2_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_21,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_22,negated_conjecture,
    ( esk2_0 = nil
    | ssItem(esk5_0) ),
    inference(rw,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_23,plain,
    ( ~ ssList(X1)
    | ~ ssList(X2)
    | X1 != X2
    | ~ neq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( neq(esk2_0,nil)
    | nil != esk1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,negated_conjecture,
    ( esk2_0 = nil
    | esk1_0 != nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( cons(esk5_0,nil) = esk3_0
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_27,plain,
    ( ~ ssList(X1)
    | ~ neq(X1,X1) ),
    inference(er,[status(thm)],[c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ( neq(nil,nil)
    | esk1_0 != nil ),
    inference(pm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    ( ssItem(esk5_0)
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_30,plain,
    ! [X3,X4] :
      ( ~ ssList(X3)
      | ~ ssItem(X4)
      | cons(X4,X3) = app(cons(X4,nil),X3) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])])]) ).

cnf(c_0_31,negated_conjecture,
    ( cons(esk5_0,nil) = esk1_0
    | esk1_0 = nil ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_16]),c_0_16]) ).

cnf(c_0_32,negated_conjecture,
    esk1_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_27,c_0_28]),c_0_21])]) ).

cnf(c_0_33,negated_conjecture,
    ( esk1_0 = nil
    | ssItem(esk5_0) ),
    inference(rw,[status(thm)],[c_0_29,c_0_16]) ).

fof(c_0_34,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk6_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ssList(esk7_2(X5,X6))
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( app(app(esk6_2(X5,X6),X6),esk7_2(X5,X6)) = X5
        | ~ segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(app(X9,X6),X10) != X5
        | segmentP(X5,X6)
        | ~ ssList(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])])])]) ).

fof(c_0_35,plain,
    ! [X4,X5,X6] :
      ( ~ ssList(X4)
      | ~ ssList(X5)
      | ~ ssList(X6)
      | app(app(X4,X5),X6) = app(X4,app(X5,X6)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])])])]) ).

fof(c_0_36,plain,
    ! [X5,X6,X9,X10] :
      ( ( ssList(esk8_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ssList(esk9_2(X5,X6))
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( app(esk8_2(X5,X6),cons(X6,esk9_2(X5,X6))) = X5
        | ~ memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) )
      & ( ~ ssList(X9)
        | ~ ssList(X10)
        | app(X9,cons(X6,X10)) != X5
        | memberP(X5,X6)
        | ~ ssItem(X6)
        | ~ ssList(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])])])]) ).

cnf(c_0_37,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,negated_conjecture,
    cons(esk5_0,nil) = esk1_0,
    inference(sr,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ssItem(esk5_0),
    inference(sr,[status(thm)],[c_0_33,c_0_32]) ).

cnf(c_0_40,plain,
    ( segmentP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,plain,
    ( app(esk8_2(X1,X2),cons(X2,esk9_2(X1,X2))) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    ( cons(esk5_0,X1) = app(esk1_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

fof(c_0_44,plain,
    ! [X4,X5,X6] :
      ( ( ~ memberP(app(X5,X6),X4)
        | memberP(X5,X4)
        | memberP(X6,X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X5,X4)
        | memberP(app(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) )
      & ( ~ memberP(X6,X4)
        | memberP(app(X5,X6),X4)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssItem(X4) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])])])]) ).

fof(c_0_45,plain,
    ! [X3,X4] :
      ( ( nil = X4
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil = X3
        | nil != app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) )
      & ( nil != X4
        | nil != X3
        | nil = app(X3,X4)
        | ~ ssList(X4)
        | ~ ssList(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])])])]) ).

fof(c_0_46,plain,
    ! [X2] :
      ( ~ ssItem(X2)
      | ~ memberP(nil,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])]) ).

cnf(c_0_47,negated_conjecture,
    ( memberP(esk4_0,esk5_0)
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_48,plain,
    ( segmentP(X1,X2)
    | app(X3,app(X2,X4)) != X1
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(pm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    ( app(esk8_2(X1,esk5_0),app(esk1_0,esk9_2(X1,esk5_0))) = X1
    | ~ memberP(X1,esk5_0)
    | ~ ssList(esk9_2(X1,esk5_0))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_42,c_0_43]),c_0_39])]) ).

cnf(c_0_50,negated_conjecture,
    ssList(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_51,plain,
    ( memberP(app(X2,X3),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ memberP(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,plain,
    ( nil = app(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | nil != X1
    | nil != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,plain,
    ( ~ memberP(nil,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,negated_conjecture,
    ( esk1_0 = nil
    | memberP(esk2_0,esk5_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_16]),c_0_15]) ).

cnf(c_0_55,negated_conjecture,
    ( segmentP(X1,esk1_0)
    | ~ memberP(X1,esk5_0)
    | ~ ssList(esk9_2(X1,esk5_0))
    | ~ ssList(esk8_2(X1,esk5_0))
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_48,c_0_49]),c_0_50])])]) ).

cnf(c_0_56,plain,
    ( ssList(esk9_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_57,plain,
    ( nil != X1
    | nil != X2
    | ~ memberP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    memberP(esk2_0,esk5_0),
    inference(sr,[status(thm)],[c_0_54,c_0_32]) ).

cnf(c_0_59,negated_conjecture,
    ssList(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_60,negated_conjecture,
    ( nil = esk2_0
    | ~ segmentP(esk2_0,esk1_0)
    | ~ neq(esk1_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_61,plain,
    ( neq(X1,X2)
    | X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_62,negated_conjecture,
    ( segmentP(X1,esk1_0)
    | ~ memberP(X1,esk5_0)
    | ~ ssList(esk8_2(X1,esk5_0))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_55,c_0_56]),c_0_39])]) ).

cnf(c_0_63,plain,
    ( ssList(esk8_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_64,negated_conjecture,
    ( esk2_0 != nil
    | nil != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_39])]) ).

cnf(c_0_65,negated_conjecture,
    ( esk1_0 = nil
    | esk2_0 = nil
    | ~ segmentP(esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_60,c_0_61]),c_0_21]),c_0_50])]) ).

cnf(c_0_66,negated_conjecture,
    ( segmentP(X1,esk1_0)
    | ~ memberP(X1,esk5_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_62,c_0_63]),c_0_39])]) ).

cnf(c_0_67,negated_conjecture,
    esk2_0 != nil,
    inference(pm,[status(thm)],[c_0_64,c_0_59]) ).

cnf(c_0_68,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_65,c_0_66]),c_0_58]),c_0_59])]),c_0_32]),c_0_67]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC113+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 12 05:58:00 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.39/23.42  eprover: CPU time limit exceeded, terminating
% 0.39/23.43  eprover: CPU time limit exceeded, terminating
% 0.53/46.43  eprover: CPU time limit exceeded, terminating
% 0.53/46.43  eprover: CPU time limit exceeded, terminating
% 0.53/46.44  eprover: CPU time limit exceeded, terminating
% 0.53/46.44  eprover: CPU time limit exceeded, terminating
% 0.53/46.69  # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.53/46.69  
% 0.53/46.69  # Failure: Resource limit exceeded (time)
% 0.53/46.69  # OLD status Res
% 0.53/46.69  # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.53/46.69  # Preprocessing time       : 0.020 s
% 0.53/46.69  # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 0.53/46.69  
% 0.53/46.69  # Failure: Resource limit exceeded (time)
% 0.53/46.69  # OLD status Res
% 0.53/46.69  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 0.53/46.69  # Preprocessing time       : 0.010 s
% 0.53/46.69  # Running protocol protocol_eprover_48e494e00e0717ec2eabf59b73b2d711334607de for 23 seconds:
% 0.53/46.69  # SinE strategy is GSinE(CountFormulas,hypos,1.1,,03,20000,1.0)
% 0.53/46.69  # Preprocessing time       : 0.011 s
% 0.53/46.69  
% 0.53/46.69  # Proof found!
% 0.53/46.69  # SZS status Theorem
% 0.53/46.69  # SZS output start CNFRefutation
% See solution above
% 0.53/46.69  # Proof object total steps             : 69
% 0.53/46.69  # Proof object clause steps            : 47
% 0.53/46.69  # Proof object formula steps           : 22
% 0.53/46.69  # Proof object conjectures             : 34
% 0.53/46.69  # Proof object clause conjectures      : 31
% 0.53/46.69  # Proof object formula conjectures     : 3
% 0.53/46.69  # Proof object initial clauses used    : 24
% 0.53/46.69  # Proof object initial formulas used   : 11
% 0.53/46.69  # Proof object generating inferences   : 14
% 0.53/46.69  # Proof object simplifying inferences  : 40
% 0.53/46.69  # Training examples: 0 positive, 0 negative
% 0.53/46.69  # Parsed axioms                        : 96
% 0.53/46.69  # Removed by relevancy pruning/SinE    : 66
% 0.53/46.69  # Initial clauses                      : 65
% 0.53/46.69  # Removed in clause preprocessing      : 0
% 0.53/46.69  # Initial clauses in saturation        : 65
% 0.53/46.69  # Processed clauses                    : 3164
% 0.53/46.69  # ...of these trivial                  : 29
% 0.53/46.69  # ...subsumed                          : 2632
% 0.53/46.69  # ...remaining for further processing  : 503
% 0.53/46.69  # Other redundant clauses eliminated   : 46
% 0.53/46.69  # Clauses deleted for lack of memory   : 0
% 0.53/46.69  # Backward-subsumed                    : 24
% 0.53/46.69  # Backward-rewritten                   : 38
% 0.53/46.69  # Generated clauses                    : 9679
% 0.53/46.69  # ...of the previous two non-trivial   : 8854
% 0.53/46.69  # Contextual simplify-reflections      : 434
% 0.53/46.69  # Paramodulations                      : 9592
% 0.53/46.69  # Factorizations                       : 0
% 0.53/46.69  # Equation resolutions                 : 82
% 0.53/46.69  # Current number of processed clauses  : 433
% 0.53/46.69  #    Positive orientable unit clauses  : 73
% 0.53/46.69  #    Positive unorientable unit clauses: 0
% 0.53/46.69  #    Negative unit clauses             : 76
% 0.53/46.69  #    Non-unit-clauses                  : 284
% 0.53/46.69  # Current number of unprocessed clauses: 5387
% 0.53/46.69  # ...number of literals in the above   : 30877
% 0.53/46.69  # Current number of archived formulas  : 0
% 0.53/46.69  # Current number of archived clauses   : 67
% 0.53/46.69  # Clause-clause subsumption calls (NU) : 33256
% 0.53/46.69  # Rec. Clause-clause subsumption calls : 13880
% 0.53/46.69  # Non-unit clause-clause subsumptions  : 800
% 0.53/46.69  # Unit Clause-clause subsumption calls : 942
% 0.53/46.69  # Rewrite failures with RHS unbound    : 0
% 0.53/46.69  # BW rewrite match attempts            : 135
% 0.53/46.69  # BW rewrite match successes           : 22
% 0.53/46.69  # Condensation attempts                : 0
% 0.53/46.69  # Condensation successes               : 0
% 0.53/46.69  # Termbank termtop insertions          : 122942
% 0.53/46.69  
% 0.53/46.69  # -------------------------------------------------
% 0.53/46.69  # User time                : 0.129 s
% 0.53/46.69  # System time              : 0.004 s
% 0.53/46.69  # Total time               : 0.133 s
% 0.53/46.69  # Maximum resident set size: 9340 pages
% 0.53/69.45  eprover: CPU time limit exceeded, terminating
% 0.53/69.45  eprover: CPU time limit exceeded, terminating
% 0.53/69.45  eprover: CPU time limit exceeded, terminating
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.47  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.48  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.49  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.50  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.53/69.51  eprover: No such file or directory
% 0.53/69.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.53/69.51  eprover: No such file or directory
%------------------------------------------------------------------------------